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The fundamental frequency in an open organ pipe is equal to the third harmonic of a closed organ pipe. If the length of the closed organ pipe is $20 \text{ cm}$, the length of the open organ pipe is:
The driver of a car travelling at a speed of $30 \text{ m/s}$ towards a hill sounds a horn of frequency $600 \text{ Hz}$. If the velocity of sound in air is $330 \text{ m/s}$, the frequency of reflected sound as heard by the driver is:
Which one of the following statements is true?
Dimensional formula for volume elasticity is
The force between two small charged spheres having charges of $2 \times 10^{-7}$ C and $3 \times 10^{-7}$ C placed 30 cm apart in the air is:
Two identical piano wires kept under the same tension $T$ have a fundamental frequency of $600 \text{ Hz}$. The fractional increase in the tension of one of the wires which will lead to the occurrence of $6 \text{ beats/s}$ when both the wires oscillate together would be:
A wave traveling in the +ve x-direction having maximum displacement along y-direction as $1 \text{ m}$, wavelength $2\pi \text{ m}$ and frequency of $1/\pi \text{ Hz}$, is represented by:
An electric dipole with dipole moment $4 \times 10^{-9}$ C m is aligned at $30^\circ$ with the direction of a uniform electric field of magnitude $5 \times 10^4$ NC$^{-1}$. The magnitude of the torque acting on the dipole is:
Two point charges $q_A = 3 \, \mu\text{C}$ and $q_B = -3 \, \mu\text{C}$ are located $20 \, \text{cm}$ apart in a vacuum. The electric field at the midpoint $O$ of the line $AB$ joining the two charges is:
The equation of a simple harmonic wave is given by $y=3\sin\frac{\pi}{2}(50t-x)$ where $x$ and $y$ are in meters and $t$ is in seconds. The ratio of maximum particle velocity to the wave velocity is:
The wave described by $y = 0.25\sin(10\pi x - 2\pi t)$, where $x$ and $y$ are in metres and $t$ in seconds, is a wave traveling along the:
What is the flux of electric field $\vec{E} = 3 \times 10^3 \hat{i}$ N/C through a square of 10 cm on a side whose plane is parallel to the yz-plane?
Three sound waves of equal amplitudes have frequencies of $(n-1), n,$ and $(n+1)$. They superimpose to give beats. The number of beats produced per second will be:
Two sound waves with wavelengths $5.0 \text{ m}$ and $5.5 \text{ m}$, respectively, propagate in a gas with a velocity of $330 \text{ m/s}$. How many beats per second can we expect?
Two point charges A and B, having charges +Q and −Q respectively, are placed at a certain distance apart and the force acting between them is F. If 25% charge of A is transferred to B, then the force between the charges becomes:
$4.0 \text{ gm}$ of gas occupies $22.4 \text{ litres}$ at NTP. The specific heat capacity of the gas at a constant volume is $5.0 \text{ J K}^{-1}\text{mol}^{-1}$. If the speed of sound in the gas at NTP is $952 \text{ ms}^{-1}$, then the molar heat capacity at constant pressure will be: ($R=8.31 \text{ J K}^{-1}\text{mol}^{-1}$)
In Young's double slit experiment, the slits are $2\text{ mm}$ apart and are illuminated by photons of two wavelengths, $\lambda_1 = 12000\text{ \AA}$ and $\lambda_2 = 10000\text{ \AA}$. At what minimum distance from the common central bright fringe on the screen $2\text{ m}$ from the slit will a bright fringe from one interference pattern coincide with a bright fringe from the other?
Two insulated charged copper spheres A and B have their centers separated by a distance of 50 cm. What is the mutual force of electrostatic repulsion if the charge on each is $6.5 \times 10^{-7}$ C? (The radii of A and B are negligible compared to the distance of separation.)
A point charge +10 μC is at a distance 5 cm directly above the centre of a square of side 10 cm, as shown in the figure. What is the magnitude of the electric flux through the square?
A hollow metal sphere of radius R is uniformly charged. The electric field due to the sphere at a distance r from the centre: